(1) Formulate this problem as a regular linear programming model based on the material balance equation.

(2) Formulate this problem as a transportation model.

on A manufacturing firm is planning a four-month production schedule for a new product. From past production records the manager knows that 1,000 units can be produced per month. Also, an additional 300 units can be produced monthly an overtime basis. The unit costs of items produced on a regular time basis is $30 and $35 on an overtime basis. The demands for the next three months are 800, 1300, 1400 and 900. Excess production may be stored at a cost of $3 per item per month. The manager wants to know the monthly production schedule that will minimize the total cost for the next four months